Improving wave digital simulation by extrapolation techniques

AEU-Archiv fur Elektronik und Ubertragungstechnik

Volumn 56, Issue 5, 2002, Pages 327-336

  Fränken, Dietrich ^a   Ochs, Karlheinz ^b  

^a UNIVERSITY OF PADERBORN   (Germany)

^b Technology and Development Center   (Germany)

Author keywords

Extrapolation; Linear multistep methods; Passive integration methods; Wave digital simulation

Indexed keywords

CAPACITANCE; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; EXTRAPOLATION; INTEGRATION; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; RUNGE KUTTA METHODS; ELECTRIC CURRENTS; ELECTRIC POTENTIAL;

LINEAR MULTISTEP METHODS; PASSIVE INTEGRATION METHODS; WAVE DIGITAL SIMULATION; LINEAR MULTIPLE METHODS; PASSIVITY;

DIGITAL FILTERS;

EID: 0036411973     PISSN: 00011096     EISSN: None     Source Type: Journal    
DOI: 10.1078/1434-8411-54100120     Document Type: Article

References (22)

1. Fettweis, A.: Wave digital filters: Theory and practice. Proceedings of the IEEE 74 (February 1986), 270-327.
2. Fischer, H.D.: Wave digital filters for numerical integration. NTZ Archiv 6 (1984), 37-40.
3. Meerkötter, K.; Scholz, R.: Digital simulation of nonlinear circuits by wave digital filter principles. Proc. IEEE Intern. Symp. on Circuits and Systems (ISCAS) (1989), 720-723.
4. Fettweis, A.; Nitsche, G.: Numerical integration of partial differential equations by means of multidimensional wave digital filters. Proc. IEEE Intern. Symp. on Circuits and Systems (ISCAS) II (1990), 954-957.
5. Fettweis, A.: Discrete passive modelling of viscous fluids. Proc. IEEE Intern. Symp. on Circuits and Systems (ISCAS) 4 (1992), 1640-1643.
6. Fettweis, A.: Discrete modelling of lossless fluid dynamic systems. AEÜ Int. J. Electron. Commun. 46 (1992), 209-218.
7. Fettweis, A.: Discrete passive modelling of physical systems described by partial differential equations. Proc. European Signal Proc. Conf. (EUSIPCO) (1992), 55-62.
8. Meerkötter, K.; Felderhoff, T.: Simulation of nonlinear transmission lines by wave digital filter principles. Proc. IEEE Intern. Symp. on Circuits and Systems (ISCAS) 2 (1992), 875-878.
9. Felderhoff, T.: Simulation of nonlinear circuits with periodic doubling and chaotic behavior by wave digital filter principles. IEEE Transactions on Circuits and Systems 41 (1994), 485-491.
10. Ochs, K.: Passive integration methods: Fundamental theory. AEÜ Int. J. Electron. Commun. 55 (2001), 153-163.
11. Fränken, D.; Ochs, K.: Synthesis and design of passive Runge-Kutta methods. AEÜ Int. J. Electron. Commun. 55 (2001), 417-425.
12. Hairer, E.; Nørsett, S.P.; Wanner, G.: Solving Ordinary Differential Equations I. New York: Springer, 1993.
13. Henrici, P.: Discrete variable methods in ordinary differential equations. New York: John Wiley, 1962.
14. Gragg, W.B.: On extrapolation algorithms for ordinary initial value problems. SIAM J. Numer. Anal. 2 (1965), 384-403.
15. Genin, Y.: A new approach to the synthesis of stiffly stable linear multistep formulas. IEEE Transactions on Circuit Theory 20 (1973), 352-360.
16. Felderhoff, T.: A new approach to design A-stable linear multistep integration algorithms. Proc. IEEE Intern. Symp. on Circuits and Systems (ISCAS) 5 (1994), 133-136.
17. Dahlquist, G.: A special stability problem for linear multistep methods. BIT 3 (1963), 27-43.
18. Belevitch, V.: Classical network theory. San Francisco: Holden-Day, 1968.
19. Richardson, L.F.: The approximate arithmetical solution by finite differences of physical problems including differential equations, with an application to the stresses in a masonry dam. Phil. Trans. A 210 (1910), 307-357.
20. Richardson, L.F.: The deferred approach to the limit. Phil. Trans. A 226 (1927), 299-349.
21. Aitken, A. C.: On interpolation by iteration of proportional parts, without use of differences. Proc. Edinburgh Math. Soc. (2. Ser.) 3 (1932), 56-76.
22. Neville, E.H.: Iterative interpolation. Ind. Math. Soc. 20 (1934), 87-120.